Just a word of caution of something to look out for.
A robot with a feeding mechanism is likely to have jamming issues. Ever had a printer that had pages jam? Something like that.
What you will see is multiple disks try to get fed at the same time, or a disk might get stuck in the loader. Foam disks, with weakly defined thickness, will definitely have this problem. Thicker disks are less likely to jam than thinner disks.
Just stuff to consider . . .